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Finding the Fourth Proportional to 119,085.21, 178,461.01 and 89,484.16

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Solution

The fourth proportional to 119,085.21, 178,461.01 and 89,484.16 is: 134,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.21 : 178,461.01 = 89,484.16 : x
  2. Step 2: Convert to fraction form
    119,085.21/178,461.01 = 89,484.16/x
  3. Step 3: Cross multiply
    119,085.21x = 178,461.01 × 89,484.16
  4. Step 4: Simplify right side
    119,085.21x = 15,969,433,572.60
  5. Step 5: Solve for x
    x = 15,969,433,572.60/119,085.21
  6. Step 6: Final answer
    x = 134,100.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.